Question

Using the letters in the state A R K A N S A S. Find the probability of each event.

a. picking on S and then an A without replacement.

Answer 1

The probability of picking an 'S' and then an 'A' without replacement from the letters in the word ARKANSAS is 1/32.

Step-by-step explanation:

To find the probability of picking an 'S' and then an 'A' without replacement from the letters in the word ARKANSAS, we need to calculate the probability of each event separately and then multiply them.

1. First, we calculate the probability of picking an 'S'. Since there is only 1 'S' in the word ARKANSAS and the word has a total of 8 letters, the probability is 1/8.
2. Next, we calculate the probability of picking an 'A' without replacement. After picking the 'S', there are 8 letters left, including 2 'A's. So, the probability of picking an 'A' is 2/8 or 1/4.
3. To find the probability of both events happening, we multiply the probabilities: (1/8) * (1/4) = 1/32.

Therefore, the probability of picking an 'S' and then an 'A' without replacement from the letters in the word ARKANSAS is 1/32.